How do I simpllify 1-sin^2x/1-cos^2x?
This one is real easy
1 - sin^2 = cos^2x and
1 - cos^2x = sin^2x
so your expression
= cos^2x/sin^2x
= cot^2 x
Oh wow that is simple. Thank you so much for your help.
To simplify the expression (1 - sin^2x) / (1 - cos^2x), we can start by using the trigonometric identity:
sin^2x + cos^2x = 1
Rewriting the expression in terms of this identity:
(1 - sin^2x) / (1 - cos^2x) = (cos^2x) / (sin^2x)
Now, remembering the reciprocal relationship between sine and cosine:
sin^2x = 1 - cos^2x
We substitute this into our expression:
(cos^2x) / (sin^2x) = (cos^2x) / (1 - cos^2x)
This is the simplified form of the original expression.